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A stable toolkit method in quantum control

Salomon, Julien; Turinici, Gabriel; Belhadj, Mohamed (2008), A stable toolkit method in quantum control, Journal of Physics A: Mathematical and Theoretical, 41, 36, p. 362001-362011. http://dx.doi.org/10.1088/1751-8113/41/36/362001

Type
Article accepté pour publication ou publié
Date
2008-02
Journal name
Journal of Physics A: Mathematical and Theoretical
Volume
41
Number
36
Publisher
IOP
Pages
362001-362011
Publication identifier
http://dx.doi.org/10.1088/1751-8113/41/36/362001
Metadata
Show full item record
Author(s)
Salomon, Julien
Turinici, Gabriel cc
Belhadj, Mohamed
Abstract (EN)
Recently the 'toolkit' discretization introduced to accelerate the numerical resolution of the time-dependent Schrödinger equation arising in quantum optimal control problems demonstrated good results on a large range of models. However, when coupling this class of methods with the so-called monotonically convergent algorithms, numerical instabilities affect the convergence of the discretized scheme. We present an adaptation of the 'toolkit' method which preserves the monotonicity of the procedure. The theoretical properties of the new algorithm are illustrated by numerical simulations.
Subjects / Keywords
Optimization and control

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